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In this paper we propose a naive construction of 2-dimensional extended topological quantum field theories (TQFTs), which can be further generalized to the higher-dimension extended TQFTs.

量子代数 · 数学 2007-05-23 Vishvajit V. S. Gautam

Probably we have observed a new simple phenomena dealing with approximations to two real numbers.

数论 · 数学 2009-10-14 Igor D. Kan , Nikolay G. Moshchevitin

We investigate the effects of the electromagnetic vacuum field on a harmonically bound electron. We show that in the electric-dipole approximation the model atom couples only to an effective one-dimensional electric field. In a simplified…

量子物理 · 物理学 2024-04-22 Stephen M. Barnett , James D. Cresser , Sarah Croke

An analysis is made of the effect of a strong field on the shape of the amplification spectral line for mono-velocity V-type three-level atoms. There are three strong-field contributions, differing in their dependence on the set of…

量子物理 · 物理学 2007-05-23 T. Ya. Popova , A. K. Popov

Implications of field quantization on Ramsey interferometry are discussed and general conditions for the occurrence of interference are obtained. Interferences do not occur if the fields in two Ramsey zones have precise number of photons.…

量子物理 · 物理学 2009-11-07 G. S. Agarwal , P. K. Pathak , M. O. Scully

We give a complete description of the representation of $SL(2,\mathbb{C})$ acting in the Hilbert space of the quantum Coulomb field and a constructive consistency proof of the axioms of the quantum theory of the Coulomb field.

数学物理 · 物理学 2025-09-23 J. Wawrzycki , T. Wawrzycki

The interaction of 3-level system with a quantum field in a non-equilibrium state is considered. We describe a class of states of the quantum field for wich a stationary state drives the system to inverse populated state. We find that the…

量子物理 · 物理学 2007-05-23 L. Accardi , K. Imafuku , S. V. Kozyrev

In this paper we introduce the two-sided level-set for the two-dimensional discrete Gaussian free field. Then we investigate the chemical distance for the two-sided level-set percolation. Our result shows that the chemical distance should…

概率论 · 数学 2021-05-19 Yifan Gao , Fuxi Zhang

We present a scheme for two-dimensional (2D) atom localization in a three-level atomic system. The scheme is based on quantum coherence via classical standing wave fields between the two excited levels. Our results show that conditional…

量子物理 · 物理学 2013-02-12 Sajjad Zafar , Rizwan Ahmed , M. Khalid Khan

Non equilibrium effective field theory is presented as an inhomogeneous field theory, using a formulation which is analogous to that of a gauge theory. This formulation underlines the importance of structural aspects of non-equilibrium,…

高能物理 - 理论 · 物理学 2007-05-23 Mark Burgess

Multilevel methods are among the most efficient numerical methods for solving large-scale systems of equations that arise from discretized partial differential equations. Two-level convergence theory plays a fundamental role in the analysis…

数值分析 · 数学 2025-06-04 Xuefeng Xu

A unified framework for describing the azimuthal dependence of two-particle correlations in heavy-ion collisions is introduced, together with the methods for measuring the corresponding observables. The generalization to azimuthal…

核理论 · 物理学 2007-05-23 Nicolas Borghini

We propose and theoretically investigate an unambiguous Bell measurement of atomic qubits assisted by multiphoton states. The atoms interact resonantly with the electromagnetic field inside two spatially separated optical cavities in a…

量子物理 · 物理学 2016-05-04 Juan Mauricio Torres , József Zsolt Bernád , Gernot Alber

We present an investigation on the resonances of a doubly excited helium atom in a strong magnetic field covering the regime B = 0-100 a.u. A full-interaction approach which is based on an anisotropic Gaussian basis set of one-particle…

原子物理 · 物理学 2015-06-26 Armin Lühr , Omar-Alexander Al-Hujaj , Peter Schmelcher

A concise discussion of the 3-dimensional irreducible (1,0) and (0,1) representations of the restricted Lorentz group and their application to the description of the electromagnetic field is given. It is shown that a mass term is in…

数学物理 · 物理学 2013-02-15 Andreas Aste

The multilevel geometrically--covariant generalization of the field--antifield BV--formalism is suggested. The structure of quantum generating equations and hypergauge conditions is studied in details. The multilevel formalism is…

高能物理 - 理论 · 物理学 2015-06-26 I. A. Batalin , I. V. Tyutin

A comment to the authors' SRF Conference pre-print [1] was submitted by A. Gurevich to the arXiv [2]. In this response, we show that the arguments used in the comment are not valid. [1] arXiv:1309.3239 [2] arXiv:1309.5626

加速器物理 · 物理学 2013-10-17 Sam Posen , Gianluigi Catelani , Matthias U. Liepe , James P. Sethna , Mark K. Transtrum

We provide, explicitly, equivalences and dual equivalences between categories of abstract quadratic forms theories and subcategories of multifields and multirings, that will bring new perspectives and methods to the abstract theories of…

The dynamics of the interaction between an atom of three levels interacting with a quantized field of two modes in a cavity is studied within the rotating wave approximation, by taking into account experimental values of the accessible…

量子物理 · 物理学 2025-02-25 A. del Rio-Lima , F. J. Poveda-Cuevas , O. Castaños

We study the continuum scaling limit of the critical Ising magnetization in two dimensions. We prove the existence of subsequential limits, discuss connections with the scaling limit of critical FK clusters, and describe work in progress of…

概率论 · 数学 2012-05-15 Federico Camia